Causal compactification and Hardy spaces

DOI10.1090/S0002-9947-99-02101-7zbMath0928.43007OpenAlexW1617372100MaRDI QIDQ4252953

Bent Orsted, Gestur Olafsson

Publication date: 23 June 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02101-7

zbMATH Keywords

Hardy spaceholomorphic discrete seriesCauchy-Szegő kernelcausal compactification

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Differential geometry of symmetric spaces (53C35)

Related Items

Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum, Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains, Berezin kernels of tube domains, Causal compactification of compactly causal spaces, Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups, Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley. (Cauchy-Szegö kernel of a symmetric space of Cayley type.), Hardy spaces and analytic continuation of Bergman spaces

Cites Work

• Fourier and Poisson transformation associated to a semisimple symmetric space
• The holomorphic discrete series for affine symmetric spaces. I
• Symmetric spaces of Hermitian type
• Realization of Hermitian symmetric spaces as generalized half-planes
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Analytic Extension of the Holomorphic Discrete Series
• Representations of Semisimple Lie Groups IV
• The Holomorphic Discrete Series of an Affine Symmetric Space and Representations with Reproducing Kernels
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